10200012100001 has 2 divisors, whose sum is σ = 10200012100002. Its totient is φ = 10200012100000.

The previous prime is 10200012099973. The next prime is 10200012100009. The reversal of 10200012100001 is 10000121000201.

It is an a-pointer prime, because the next prime (10200012100009) can be obtained adding 10200012100001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8676700749376 + 1523311350625 = 2945624^2 + 1234225^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200012100001 - 2¹⁰ = 10200012098977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200012100009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100006050000 + 5100006050001.

It is an arithmetic number, because the mean of its divisors is an integer number (5100006050001).

Almost surely, 2^{10200012100001} is an apocalyptic number.

It is an amenable number.

10200012100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200012100001 is an equidigital number, since it uses as much as digits as its factorization.

10200012100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10200012100001 its reverse (10000121000201), we get a palindrome (20200133100202).

The spelling of 10200012100001 in words is "ten trillion, two hundred billion, twelve million, one hundred thousand, one".